Restricted Cubic Spline by Leonidas Bantis

Fits the so called restricted cubic spline via least squares and obtains 95% bootstrap based CIs. (spline, restricted cubic spli..., least squares)

[bhat f sse knots CI]=rcspline(x,y,knots,bootsams,atwhich,p...

[bhat ff sse X]=rcs(x,y,knots,plots)

example.m

Circle fitting using modified Coopes method by Daniel

Robust method for fitting a circle to data using Weighted Linear Least Squares. (curvature, circle, fit)

circfit( data, weights )

circfit_DEMO.m

NIST Statistical Reference Datasets for Nonlinear Regression by Adam Gripton

MAT file of all the benchmark Nonlinear Regression problems from the NIST StRD website (nonlinear, regression, statistics)

Free-knot spline approximation by Bruno Luong

Least squares approximation of 1D data using free-knots spline (bspline, free knots, fitting)

BBspline(varargin)

BSFK(x, y, k, nknots, fixknots, options)

BSFK_install

Four-Parameter Sinefit by Marko Neitola

Least squares sinusoid fit. Optimization toolbox not needed. Data can be non-uniformly sampled. (complex, sinusoid, fit)

sinefit(varargin)

Fast Symmetric Matrix Inverse by Eric Blake

Uses LAPACK, Cholesky to invert real, positive definite, symmetric matrix. More efficient than inv. (cholesky decompositio..., covariance matrix, symmetric matrix inve...)

run_to_compile_and_test.m

Least Squares Curve Fitting by Muhammad Tauha Ali

Graphical interfacing of least squares (plotted curves, data, polynomial)

curve_fitting(varargin)

LMFnlsq - Solution of nonlinear least squares by Miroslav Balda

Efficient and stable Levenberg-Marquard-Fletcher method for solving of nonlinear equations (fig and separator, optimization, marquardt)

LMFnlsq.m

res(p)

LMFnlsqtest.m

SLM - Shape Language Modeling by John D'Errico

Least squares spline modeling using shape primitives (hermite, slm, cubic)

slm_tutorial

hermite2slm(harray)

plotslm(slm)

Sphere Fit (least squared) by Alan Jennings

Fits a sphere to a set of noisy data. Does not require a wide arc or many points. (least squares, sphere, fitting curves)

sphereFit_Example

sphereFit(X)

Fitting a conic to a given set of points using Trust Region method by Hui Ma

Conic fit using algebraic parameters based on Trust Region minimization scheme. (conic, conic fitting, orthogonal distances)

TR_conic(XY,ParAini,DeltaIni)

Fitting a conic to a given set of points using Levenberg-Marquardt method by Hui Ma

Conic fit using algebraic parameters based on Levenberg-Marquardt minimization scheme. (conic, conic fitting, orthogonal distances)

fit_conicLMA(XY,ParAini,LambdaIni)

Fitting an ellipse to a given set of points using Trust Region method by Hui Ma

Ellipse fit using geometric parameters based on Trust Region minimization scheme. (ellipse, least squares, orthogonal distances)

TR_ellipse(XY,ParGIni,DeltaIni)

Fitting an ellipse to a given set of points by Hui Ma

Ellipse fits using geometric parameters based on Levenberg-Marquardt minimization scheme. (ellipse fitting, least squares, orthogonal distances)

fit_ellipseLMG(XY,ParGini,LambdaIni)

trilin by Felipe G. Nievinski

Facilitates the reuse of matrix factorizations in large dense linear algebra problems. (linear algebra, cholesky, inv)

chol2(varargin)

cputime_res

cputime_tol

Least squares fit of a rectangle to a given shape/boundary by Onkar Raut

A simple method for fitting of bounding rectangle to closed regions (rectangle, fit, least squares)

fit_rectangle(boundary_points)

polyfit3 by Antoni J. Canós

Fit polynomial to data, with new features as forced to zero coefficients and data weighting. (fitting, polynomial fitting, approximation)

polyfit3(x,y,n,nul,w)

LSE by John D'Errico

A linear least squares solver, subject to linear equality constraints (least squares, regression, linear regression)

lse(A,b,C,d,solverflag,weights)

elltools by Matthew

Ellipse tools (ellipse, least squares)

elltools_calc_para(c)

elltools_calc_poly(p, x1, x2)

elltools_conv_par2poly(c)

Model Replay by Ben Spivey

Performs state or parameter estimation of process models using the APMonitor executable. (estimation, sliding window, data export)

ModelReplayGUI2(varargin)

cellwrite(filename, cellarray)

tabpanel(varargin)

Linear Regression by michael scheinfeild

linear regressing fit to line in the method of gradient descent for minimizing square error (linear regression, gradient descent, fitting line)

gradient_descent_opt(xi,yi,theta_st,nsteps,mindiff,learnrat...

Very large AR regressions by Alexander Migita

Very large autoregressions (econometrics, least squares, ols)

xL(y, x, lags)

example.m

Ellipsoid fit by Yury Petrov

Fits an ellipsoid to data using linear least squares. (ellipsoid, fitting, least squares)

ellipsoid_fit( X, flag, equals )

test_ellipsoid_fit.m

3D Least squares polynomial fit in x and y by Thomas

Fit a two dimensional f(x,y) polynomial to sampled x,y,z data triplets (fitting, least squares, signal processing)

coeff=least_square_polyfit_xyz(x,y,z,m)

Orthogonal Least Squares Algorithms for Sparse Signal Reconstruction by Angshul Majumdar

Greedy Algorithms for Underdetermined but Sparse Solutions (image processing, simulation, signal processing)

A=matrix_normalizer(B)

GenSig(n, k)

OLS(A, y, m, err)

Ellipse Fit (Direct method) by Nikolai Chernov

Fits an ellipse to a set of points on a plane; returns the coefficients of the ellipse's equation (image processing, statistics, optimization)

EllipseDirectFit(XY);

Ellipse Fit (Taubin method) by Nikolai Chernov

Fits an ellipse to a set of points on a plane; returns coefficients of the ellipse's equation. (image processing, statistics, least squares)

EllipseFitByTaubin(XY);

Circle Fit (Taubin method) by Nikolai Chernov

Fits a circle to a set of data points on a plane; returns the circle center (a,b) and radius R. (fitting curves, optimization, statistics)

CircleFitByTaubin(XY)

Ellipse Fit by Tal Hendel

Given a set of points (x, y) this function returns the best fit ellipse. (least sqaures, fit, ellipse)

ellipse_fit(x, y)

Analytical solution for Orthogonal Linear Least Squares in two dimensions by Francesco Pozzi

The function returns the Orthogonal Linear Least Squares estimate for parameters of line ax+by+c=0 (statistics, least squares, orthogonal linear lea...)

OrthLLS2D(x, y)

weighted least-squares + weighted min-max optimization by Lai Chiong Ching

Optimization using both weighted least squares and weighted min-max (optimization, least squares, minmax)

...

egCostFunc(x)

egNlcon(x)

fitellipse.m by Richard Brown

Fit ellipses to 2D points using linear or nonlinear least squares (approximation, conic, least squares)

FITELLIPSE : Least squares ellipse fitting demonstration

fitellipse(x, varargin)

plotellipse(varargin)

fitcircle.m by Richard Brown

Fits circles to 2D data using nonlinear least squares to minimise geometric error (fitcircle, circle, least squares)

Fitcircle Demonstration

fitcircle(x, varargin)

test_main.m

active set algorithm by Uriel Roque

solve linear least squares problem with nonnegative variables (active set, least squares, nvlsq)

activeset(A,b)

Nonlinear Regression Shapes by John D'Errico

Curve fitting, empirical modeling, and an appreciation of shape (regression, nonlinear regression, shape)

fminspleas(funlist,NLPstart,xdata,ydata,INLB,INUB,options)

bestiary.m

shapes.m

Comprehensive DSP Toolbox v1.0 by Evan Ruzanski

General digital signal processing toolbox for MATLAB containing 20 useful functions. (dsp, blaschke products, digital filter design)

er_add(f1,f2)

er_blaschke(f, s, phi)

er_conv(f1,f2)

Circle fit by Izhak Bucher

Fit a circle to a set of measured x,y points. (circle fit, circle, approximations)

circfit(x,y)

try_circ_fit.m

fit_ellipse by Ohad Gal

Find the best fit for an ellipse using a given set of points (a closed contour). (ellipse, fit, plotting)

fit_ellipse( x,y,axis_handle )